The worth of the cube source of 216 is 6. That is the actual solution the the equation x3 = 216. The cube root of 216 is expressed as ∛216 in radical type and as (216)⅓ or (216)0.33 in the exponent form. As the cube source of 216 is a totality number, 216 is a perfect cube.

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Cube root of 216: 6Cube root of 216 in exponential form: (216)⅓Cube source of 216 in radical form: ∛216

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1.What is the Cube root of 216?
2.How to calculate the Cube root of 216?
3.Is the Cube source of 216 Irrational?
4.FAQs top top Cube root of 216

The cube source of 216 is the number which once multiplied by itself 3 times offers the product as 216. Because 216 deserve to be expressed as 2 × 2 × 2 × 3 × 3 × 3. Therefore, the cube root of 216 = ∛(2 × 2 × 2 × 3 × 3 × 3) = 6.


Cube root of 216 by prime Factorization

Prime factorization of 216 is 2 × 2 × 2 × 3 × 3 × 3Simplifying the over expression: 23 × 33Simplifying further: 63

Therefore, the cube root of 216 by element factorization is (2 × 2 × 2 × 3 × 3 × 3)1/3 = 6.


No, due to the fact that ∛216 = ∛(2 × 2 × 2 × 3 × 3 × 3) deserve to be expressed in the form of p/q i.e. 6/1. Therefore, the value of the cube source of 216 is an integer (rational).

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Example 3: What is the worth of ∛216 + ∛(-216)?

Solution:

The cube root of -216 is same to the an unfavorable of the cube root of 216.i.e. ∛-216 = -∛216Therefore, ∛216 + ∛(-216) = ∛216 - ∛216 = 0


 

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FAQs top top Cube source of 216

What is the value of the Cube source of 216?

We have the right to express 216 as 2 × 2 × 2 × 3 × 3 × 3 i.e. ∛216 = ∛(2 × 2 × 2 × 3 × 3 × 3) = 6. Therefore, the worth of the cube root of 216 is 6.

How to leveling the Cube root of 216/343?

We understand that the cube root of 216 is 6 and the cube source of 343 is 7. Therefore, ∛(216/343) = (∛216)/(∛343) = 6/7 = 0.8571.

What is the Cube the the Cube root of 216?

The cube that the cube root of 216 is the number 216 itself i.e. (∛216)3 = (2161/3)3 = 216.

What is the Cube root of -216?

The cube root of -216 is same to the an adverse of the cube source of 216. Therefore, ∛-216 = -(∛216) = -(6) = -6.

Why is the value of the Cube source of 216 Rational?

The value of the cube source of 216 have the right to be expressed in the type of p/q i.e. = 6/1, wherein q ≠ 0. Therefore, the ∛216 is rational.

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What is the worth of 15 to add 12 Cube source 216?

The value of ∛216 is 6. So, 15 + 12 × ∛216 = 15 + 12 × 6 = 87. Hence, the value of 15 add to 12 cube root 216 is 87.